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irinina [24]
3 years ago
15

The volume of a cone-shaped dessert is 10 CUBIC CENTIMETRES.

Mathematics
1 answer:
allochka39001 [22]3 years ago
8 0

Answer:

3. 2.4 c.m

The height of the cone 'h' = 2.4 c.m

Step-by-step explanation:

<u><em>Explanation</em></u>:-

<em>Given radius of the cone = 2 cm</em>

Given data

The volume of a cone-shaped dessert is 10 cubic centimetres

<em>The Volume of the Cone </em>

<em>                           </em>V = \frac{1}{3} \pi r^{2}h<em></em>

                        10 = \frac{1}{3} X 3.14 X (2)^{2} X h

  cross multiplication , we get

                  h = \frac{ 3 X 10}{3.14 X 4}

                 h =  2.388 ≅ 2.4 c.m

<em>The height of the cone 'h' = 2.4 c.m</em>

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Answer the following questions.
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2 years ago
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answers

1) 70

2) 3,840

3) 24

4) 72


<u>Explanation</u>

Q1

The surface area of a cone is given by;

S.A = 2Πrl + Πr²

Where r is the radius of the base and l is the lateral height.

Πr² = area of the base = 20 in²

2Πrl = Area of the lateral surface

         = 2.5 × 20

          = 50

Area of the cone = 50 + 20

                            = 70 in²

Q2

The sides of the Pythagorean triangle with legs of 12 and 16.

The 3rd side will be;

c = √(12² + 16²)

  = √400 = 20

Volume = 12 × 16 × 20

              = 3,840

Q3

The volume of a cone is given by;

volume = 1/3 Π r² h

This shows that the volume of a cone is a third the volume of the cylinder.

∴ Volume of the cylinder = 12 × 3

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Q4

The volume of any regular figure is;

Volume = base area × height

When the dimensions area usually 3. Let these dimensions be x, y and z.

∴ volume  = x × y × z = 9

  Doubling the dimensions;

Volume = 2x × 2y × 2z = 2 × 2 × 2 × 9

             = 8 × xyz = 8 × 9

             = 72 ft²



3 0
4 years ago
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